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Universal front propagation in the quantum Ising chain with domain-wall initial states

Viktor Eisler, Florian Maislinger, Hans Gerd Evertz

SciPost Phys. 1, 014 (2016)   | published 30 December 2016


Abstract:

We study the melting of domain walls in the ferromagnetic phase of the transverse Ising chain, created by flipping the order-parameter spins along one-half of the chain. If the initial state is excited by a local operator in terms of Jordan-Wigner fermions, the resulting longitudinal magnetization profiles have a universal character. Namely, after proper rescalings, the profiles in the noncritical Ising chain become identical to those obtained for a critical free-fermion chain starting from a step-like initial state. The relation holds exactly in the entire ferromagnetic phase of the Ising chain and can even be extended to the zero-field XY model by a duality argument. In contrast, for domain-wall excitations that are highly non-local in the fermionic variables, the universality of the magnetization profiles is lost. Nevertheless, for both cases we observe that the entanglement entropy asymptotically saturates at the ground-state value, suggesting a simple form of the steady state.

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BiBTeX

@Article{SciPostPhys.1.2.014,
title={{Universal front propagation in the quantum Ising chain with domain-wall initial states}},
author={Viktor Eisler and Florian Maislinger and Hans Gerd Evertz},
journal={SciPost Phys.},
volume={1},
issue={2},
pages={014},
year={2016},
publisher={SciPost},
doi={10.21468/SciPostPhys.1.2.014},
url={https://scipost.org/10.21468/SciPostPhys.1.2.014},
}


View more material from these authors:

Eisler, Viktor   Maislinger, Florian   Evertz, Hans Gerd  


SciPost Physics is published by the SciPost Foundation under the journal doi: 10.21468/SciPostPhys and ISSN 2542-4653.